Irish LC Mathematics
Irish LC Mathematics
Leaving Certificate Mathematics is a core subject covering algebra, calculus, geometry, probability, statistics, and number theory. The course is offered at Higher and Ordinary Level, with Higher Level attracting bonus CAO points.
Topics
Algebra
Expressions, equations, inequalities, complex numbers, matrices, and algebraic proof.
Calculus
Differentiation, integration, rates of change, area under curves, and differential equations.
Geometry & Trigonometry
Coordinate geometry, theorems, trigonometric functions, identities, and solving triangles.
Probability & Statistics
Probability theory, permutations, combinations, statistical distributions, and data analysis.
Number Sets & Sequences
Sets, number systems, sequences, series, arithmetic and geometric progressions, and financial maths.
Study Tips
Higher Level students should master proofs and derivations, as these appear frequently. Practise past papers under timed conditions. The SEC marking schemes show exactly how marks are allocated.
Exam Information
These notes are aligned with the official SEC syllabus and cover Higher and Ordinary Level material. Each topic includes worked examples, common pitfalls, and practice problems to reinforce understanding.
Assessment Structure
The examination commonly consists of a written paper testing knowledge, understanding, and problem-solving across all topics. Coursework or project components may also contribute to the final grade, depending on the subject and level.
How to Use These Notes
- Start with the topic you find most challenging and work through systematically
- Complete all worked examples before moving on — they reinforce key concepts
- Review the Common Pitfalls section in each topic to avoid frequent mistakes
- Use the Summary section as a quick reference for last-minute revision
- Attempt practice problems under timed conditions to build exam confidence